225666181440 has 1120 divisors, whose sum is σ = 966147139584. Its totient is φ = 48910417920.

The previous prime is 225666181397. The next prime is 225666181469. The reversal of 225666181440 is 44181666522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×225666181440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 298105542 + ... + 298106298.

Almost surely, 2^225666181440 is an apocalyptic number.

225666181440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225666181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483073569792).

225666181440 is an abundant number, since it is smaller than the sum of its proper divisors (740480958144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225666181440 is a wasteful number, since it uses less digits than its factorization.

225666181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 225666181440 in words is "two hundred twenty-five billion, six hundred sixty-six million, one hundred eighty-one thousand, four hundred forty".